Unsteady MHD Flow Between two Eccentric Rotating Disks

Abstract

The unsteady MHD flow of a viscous incompressible electrically conducting fluid between two parallel disks, rotating with uniform angular velocity Ω about two different axes has been studied. An exact solution of the governing equations has been obtained by using Laplace transform. The solution for the velocity distributions as well as shear stresses have been obtained for small times as well as for large times. It is found that both the primary and secondary velocities increase on the left of the axis of rotation with increase in rotation parameter K2 and the result is reversed on the right of the axis of rotation. It is also found that with increase in Hartman number, the primary velocity increases whereas the secondary velocity decreases on the left of the axis of rotation, while the reversed result observed on the right of the axis of rotation.